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Finding the Fourth Proportional to 40,892.16, 61,338.17 and 12,814.37

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Solution

The fourth proportional to 40,892.16, 61,338.17 and 12,814.37 is: 19,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,892.16 : 61,338.17 = 12,814.37 : x
  2. Step 2: Convert to fraction form
    40,892.16/61,338.17 = 12,814.37/x
  3. Step 3: Cross multiply
    40,892.16x = 61,338.17 × 12,814.37
  4. Step 4: Simplify right side
    40,892.16x = 786,009,634.74
  5. Step 5: Solve for x
    x = 786,009,634.74/40,892.16
  6. Step 6: Final answer
    x = 19,221.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.